GCD of 154, 412, 605, 320 Calculator

Given Input numbers are 154, 412, 605, 320

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 154

List of positive integer divisors of 154 that divides 154 without a remainder.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Greatest Common Divisior

We found the divisors of 154, 412, 605, 320 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 412, 605, 320 is 1.

Therefore, GCD of numbers 154, 412, 605, 320 is 1

Given Input Data is 154, 412, 605, 320

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 154 is 2 x 7 x 11

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(154, 412) = 31724

GCD(154, 412) = ( 154 x 412 ) / 31724

GCD(154, 412) = 63448 / 31724

GCD(154, 412) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 605

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 605) = 1210

GCD(2, 605) = ( 2 x 605 ) / 1210

GCD(2, 605) = 1210 / 1210

GCD(2, 605) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 320

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

GCD(1, 320) = 320 / 320

GCD(1, 320) = 1

GCD of 154, 412, 605, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 305, 122, 976, 643
• GCD of 184, 256, 413, 849
• GCD of 970, 148, 187, 684
• GCD of 793, 398, 431, 134
• GCD of 574, 574, 620, 137

1. What is the GCD of 154, 412, 605, 320?

GCD of 154, 412, 605, 320 is 1

2. Where do I get the detailed procedure to find GCD of 154, 412, 605, 320?

You can find a detailed procedure to find GCD of 154, 412, 605, 320 on our page.

3. How to find GCD of 154, 412, 605, 320 on a calculator?

You can find the GCD of 154, 412, 605, 320 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.